There is no correlation between Counterability and Hero Damage. Some has higher Counterability, some has higher Hero Damage. Objects are grouped into clusters (marked with different colors) based on close values of Counterability and Hero Damage.
Counterability Hero Damage
Abaddon 0.0305 585.02
Ancient Apparition 0.0323 526.65
Anti-Mage 0.0344 588.73
Bane 0.0321 401.54
Batrider 0.0333 621.11
Bounty Hunter 0.0309 472.71
Brewmaster 0.0298 513.46
Broodmother 0.0300 505.01
Centaur Warrunner 0.0301 575.45
Chen 0.0287 244.72
Clockwerk 0.0310 581.08
Crystal Maiden 0.0298 445.28
Dark Willow 0.0307 557.61
Dawnbreaker 0.0297 587.03
Dazzle 0.0304 281.98
Disruptor 0.0303 352.96
Doom 0.0303 552.96
Dragon Knight 0.0335 560.45
Earth Spirit 0.0295 467.28
Earthshaker 0.0294 615.88
Elder Titan 0.0301 589.94
Enchantress 0.0309 542.89
Enigma 0.0320 538.75
Faceless Void 0.0327 582.79
Grimstroke 0.0305 431.99
Hoodwink 0.0306 550.19
Io 0.0278 192.60
Jakiro 0.0293 536.56
Keeper of the Light 0.0281 474.16
Lich 0.0297 475.96
Lina 0.0292 580.62
Lion 0.0293 341.04
Lone Druid 0.0305 508.73
Lycan 0.0316 477.78
Magnus 0.0293 514.02
Marci 0.0300 534.16
Mars 0.0329 528.60
Mirana 0.0305 448.85
Nature's Prophet 0.0294 575.97
Night Stalker 0.0329 498.79
Ogre Magi 0.0337 576.15
Omniknight 0.0313 519.92
Oracle 0.0277 324.62
Phoenix 0.0303 581.38
Primal Beast 0.0310 568.69
Pudge 0.0295 534.87
Rubick 0.0281 504.58
Shadow Demon 0.0284 502.40
Shadow Shaman 0.0326 401.75
Silencer 0.0332 573.91
Slardar 0.0333 481.04
Slark 0.0336 621.41
Snapfire 0.0280 540.40
Spirit Breaker 0.0322 530.06
Tidehunter 0.0288 486.55
Tiny 0.0292 590.33
Treant Protector 0.0298 376.66
Tusk 0.0293 499.26
Underlord 0.0303 604.09
Undying 0.0317 384.37
Vengeful Spirit 0.0307 385.95
Visage 0.0325 572.74
Warlock 0.0289 531.20
Winter Wyvern 0.0321 585.44
Witch Doctor 0.0302 602.51
Counterability Hero Damage
Alchemist 0.0295 669.86
Arc Warden 0.0333 988.88
Axe 0.0347 784.34
Beastmaster 0.0311 611.34
Bloodseeker 0.0318 773.83
Bristleback 0.0334 872.34
Clinkz 0.0317 749.58
Dark Seer 0.0306 622.26
Death Prophet 0.0311 670.18
Drow Ranger 0.0319 728.55
Ember Spirit 0.0311 931.98
Gyrocopter 0.0313 665.27
Invoker 0.0276 667.71
Juggernaut 0.0295 721.63
Kunkka 0.0289 655.69
Legion Commander 0.0303 796.85
Leshrac 0.0316 714.63
Lifestealer 0.0309 645.68
Luna 0.0323 677.08
Medusa 0.0341 852.22
Monkey King 0.0302 736.66
Morphling 0.0319 672.73
Muerta 0.0329 854.24
Necrophos 0.0340 833.47
Nyx Assassin 0.0309 680.77
Outworld Destroyer 0.0309 794.24
Pangolier 0.0293 686.77
Phantom Assassin 0.0320 755.38
Puck 0.0316 774.65
Pugna 0.0282 677.82
Queen of Pain 0.0319 845.51
Razor 0.0335 745.25
Riki 0.0316 693.61
Sand King 0.0310 691.73
Shadow Fiend 0.0311 779.04
Skywrath Mage 0.0311 647.31
Sniper 0.0312 858.80
Storm Spirit 0.0328 712.55
Sven 0.0305 736.26
Techies 0.0295 755.66
Templar Assassin 0.0348 750.13
Timbersaw 0.0321 798.75
Tinker 0.0286 1016.93
Ursa 0.0325 773.07
Venomancer 0.0323 677.22
Viper 0.0331 750.13
Void Spirit 0.0319 789.95
Weaver 0.0329 741.95
Windranger 0.0302 694.79
Zeus 0.0306 948.69
Counterability Hero Damage
Chaos Knight 0.0353 670.88
Huskar 0.0359 749.20
Meepo 0.0427 697.90
Naga Siren 0.0393 631.53
Phantom Lancer 0.0375 718.84
Spectre 0.0382 1004.82
Terrorblade 0.0366 681.69
Troll Warlord 0.0359 700.03
Wraith King 0.0353 686.00